How does a centripetal force cause circular motion

It cause the change in the direction of the motion at every instant of time

Explanation:

When an object is revolving around a fixed point with uniform speed then in that case the acceleration of the object tangential to the path must be zero.

which mean the component of acceleration along the speed of the object at all instant of time will zero or not present because it's speed must remains the same

now since the direction of motion is continuously changing here so we can say that the force must acting here in such a way that will cause the change in the direction of the object

So this force must be perpendicular to the velocity at all instant so that the magnitude of velocity will remain the same while the direction of the velocity will continuously changing

So centripetal force will always act along the center of the path of the object

i don't understand. explain it clearly